Profiling results ----------------- Total cpu time observed: 4700ms (out of 4844ms) Number of samples taken: 25 (once every 188ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= [1] 4700(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [11] 100.0% ----------------------------------------------------------------------- location-do [2] 33.1% ??? [78] 66.9% [2] 888(18.9%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [78] 53.2% location-do [2] 33.1% loop [17] 13.7% ----------------------------------------------------------------------- ??? [78] 100.0% [3] 888(18.9%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [12] 100.0% ----------------------------------------------------------------------- map [44] 36.3% hash-ref! [21] 63.7% [4] 672(14.3%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [14] 100.0% ----------------------------------------------------------------------- for-loop [100] 38.6% loop [101] 61.4% [5] 668(14.2%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [13] 100.0% ----------------------------------------------------------------------- hash-ref! [21] 100.0% [6] 502(10.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [15] 100.0% ----------------------------------------------------------------------- for-loop [100] 100.0% [7] 410(8.7%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [16] 100.0% ----------------------------------------------------------------------- hash-ref! [21] 100.0% [8] 244(5.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [18] 100.0% ----------------------------------------------------------------------- matcher [86] 100.0% [9] 188(4.0%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:127:11 for-loop [19] 100.0% ----------------------------------------------------------------------- loop [101] 100.0% [10] 184(3.9%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [13] 100.0% ----------------------------------------------------------------------- ??? [1] 100.0% [11] 4700(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [20] 100.0% ----------------------------------------------------------------------- approximate9 [3] 100.0% [12] 888(18.9%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [21] 100.0% ----------------------------------------------------------------------- expand-id-application-form17 [10] 21.6% syntax-e [5] 78.4% [13] 852(18.1%) 0(0.0%) syntax-e/no-taint (unknown source) loop [101] 100.0% ----------------------------------------------------------------------- parse-loop74 [4] 100.0% [14] 672(14.3%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [88] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 502(10.7%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [21] 100.0% ----------------------------------------------------------------------- dispatch-transformer41 [7] 100.0% [16] 410(8.7%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [22] 59.5% loop [101] 40.5% ----------------------------------------------------------------------- location-do [2] 100.0% [17] 244(5.2%) 0(0.0%) loop ...lies/herbie/findroot/src/programs.rkt:72:4 ??? [78] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [18] 244(5.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [21] 100.0% ----------------------------------------------------------------------- ??? [9] 100.0% [19] 188(4.0%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:129:15 matcher [86] 100.0% ----------------------------------------------------------------------- profile-thunk16 [11] 100.0% [20] 4700(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [23] 100.0% ----------------------------------------------------------------------- for-loop [18] 4.6% ??? [29] 4.8% ??? [26] 10.4% for-loop [15] 10.4% ??? [25] 15.2% ??? [78] 27.3% loop [12] 27.3% [21] 888(18.9%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [24] 27.3% ??? [25] 15.2% taylor [28] 12.2% parse-loop74 [4] 10.6% ??? [6] 10.4% ??? [26] 10.4% ??? [29] 4.8% ??? [8] 4.6% f40 [53] 4.6% ----------------------------------------------------------------------- apply-transformer52 [16] 100.0% [22] 244(5.2%) 0(0.0%) apply-transformer-in-context (unknown source) parse-app [27] 100.0% ----------------------------------------------------------------------- for-loop [89] 7.4% run [20] 92.6% [23] 4700(100.0%) 184(3.9%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [30] 54.6% prepare-points-intervals [31] 25.3% errors [83] 5.9% oracle-error [35] 3.6% ??? [78] 3.6% eval-errors [36] 3.3% ??? [34] 1.9% ----------------------------------------------------------------------- hash-ref! [21] 100.0% [24] 888(18.9%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [78] 100.0% ----------------------------------------------------------------------- hash-ref! [21] 100.0% [25] 672(14.3%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [21] 100.0% ----------------------------------------------------------------------- hash-ref! [21] 100.0% [26] 502(10.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [21] 100.0% ----------------------------------------------------------------------- apply-transformer-in-context [22]100.0% [27] 244(5.2%) 0(0.0%) parse-app ...collects/racket/private/kw.rkt:1142:2 syntax->list [32] 100.0% ----------------------------------------------------------------------- hash-ref! [21] 100.0% [28] 216(4.6%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 debug5 [33] 100.0% ----------------------------------------------------------------------- hash-ref! [21] 100.0% [29] 170(3.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [21] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [30] 2818(60.0%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [37] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [31] 1190(25.3%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [38] 100.0% ----------------------------------------------------------------------- parse-app [27] 100.0% [32] 244(5.2%) 0(0.0%) syntax->list (unknown source) loop [101] 100.0% ----------------------------------------------------------------------- taylor [28] 100.0% [33] 216(4.6%) 0(0.0%) debug5 ...lies/herbie/findroot/src/debug.rkt:102:0 ??? [39] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [34] 174(3.7%) 174(3.7%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [35] 170(3.6%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [40] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [36] 154(3.3%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [41] 100.0% ----------------------------------------------------------------------- run-improve47 [30] 100.0% [37] 2818(60.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [42] 100.0% ----------------------------------------------------------------------- prepare-points-intervals [31] 100.0% [38] 1190(25.3%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [43] 57.3% do-curry [45] 14.6% ??? [46] 14.5% andmap [47] 13.6% ----------------------------------------------------------------------- debug5 [33] 100.0% [39] 216(4.6%) 216(4.6%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ----------------------------------------------------------------------- oracle-error [35] 100.0% [40] 170(3.6%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 map [44] 100.0% ----------------------------------------------------------------------- eval-errors [36] 100.0% [41] 154(3.3%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ??? [48] 100.0% ----------------------------------------------------------------------- for-loop [37] 100.0% [42] 2818(60.0%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [49] 37.2% gen-series! [50] 31.5% simplify! [51] 18.5% gen-rewrites! [54] 6.7% choose-best-alt! [56] 6.1% ----------------------------------------------------------------------- loop [38] 100.0% [43] 682(14.5%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 real->precision [52] 49.6% ...higher-order.rkt:375:33 [55] 25.5% ??? [78] 24.9% ----------------------------------------------------------------------- for-loop [40] 41.1% f40 [53] 58.9% [44] 414(8.8%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 f40 [53] 44.2% ??? [57] 41.1% parse-loop74 [4] 14.7% ----------------------------------------------------------------------- loop [38] 100.0% [45] 174(3.7%) 174(3.7%) do-curry ...-7.5/collects/racket/function.rkt:71:2 ----------------------------------------------------------------------- loop [38] 100.0% [46] 172(3.7%) 172(3.7%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 ----------------------------------------------------------------------- loop [38] 100.0% [47] 162(3.4%) 0(0.0%) andmap ...5/collects/racket/private/map.rkt:102:13 ordinary-value? [58] 100.0% ----------------------------------------------------------------------- for-loop [41] 100.0% [48] 154(3.3%) 0(0.0%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [59] 100.0% ----------------------------------------------------------------------- run-iter! [42] 100.0% [49] 1048(22.3%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [60] 100.0% ----------------------------------------------------------------------- run-iter! [42] 100.0% [50] 888(18.9%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [61] 100.0% ----------------------------------------------------------------------- run-iter! [42] 100.0% [51] 522(11.1%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [62] 100.0% ----------------------------------------------------------------------- loop [43] 100.0% [52] 338(7.2%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [78] 100.0% ----------------------------------------------------------------------- hash-ref! [21] 25.0% map [44] 75.0% [53] 244(5.2%) 0(0.0%) f40 (unknown source) map [44] 100.0% ----------------------------------------------------------------------- run-iter! [42] 100.0% [54] 188(4.0%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [63] 100.0% ----------------------------------------------------------------------- loop [43] 100.0% [55] 174(3.7%) 0(0.0%) ...higher-order.rkt:375:33 (unknown source) loop [64] 100.0% ----------------------------------------------------------------------- run-iter! [42] 100.0% [56] 172(3.7%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [65] 100.0% ----------------------------------------------------------------------- map [44] 100.0% [57] 170(3.6%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [78] 100.0% ----------------------------------------------------------------------- andmap [47] 100.0% [58] 162(3.4%) 0(0.0%) ordinary-value? ...bie/findroot/src/float.rkt:51:0 list-member? [66] 100.0% ----------------------------------------------------------------------- ??? [48] 100.0% [59] 154(3.3%) 154(3.3%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 ----------------------------------------------------------------------- variable? [91] 15.2% finalize-iter! [49] 84.8% [60] 1236(26.3%) 188(4.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [67] 84.8% ----------------------------------------------------------------------- gen-series! [50] 100.0% [61] 888(18.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [68] 100.0% ----------------------------------------------------------------------- simplify! [51] 100.0% [62] 522(11.1%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [69] 100.0% ----------------------------------------------------------------------- gen-rewrites! [54] 100.0% [63] 188(4.0%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [70] 100.0% ----------------------------------------------------------------------- ...higher-order.rkt:375:33 [55] 100.0% [64] 174(3.7%) 174(3.7%) loop .../herbie/findroot/src/biginterval.rkt:467:9 ----------------------------------------------------------------------- choose-best-alt! [56] 100.0% [65] 172(3.7%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [71] 100.0% ----------------------------------------------------------------------- ordinary-value? [58] 100.0% [66] 162(3.4%) 162(3.4%) list-member? ...llects/racket/private/set.rkt:24:0 ----------------------------------------------------------------------- ??? [60] 100.0% [67] 1048(22.3%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [73] 82.1% loop [75] 17.9% ----------------------------------------------------------------------- for-loop [61] 100.0% [68] 888(18.9%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [72] 100.0% ----------------------------------------------------------------------- ??? [62] 100.0% [69] 522(11.1%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [74] 100.0% ----------------------------------------------------------------------- for-loop [63] 100.0% [70] 188(4.0%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [76] 100.0% ----------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [65] 100.0% [71] 172(3.7%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 argmin [77] 100.0% ----------------------------------------------------------------------- taylor-alt [68] 100.0% [72] 888(18.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [78] 100.0% ----------------------------------------------------------------------- for-loop [67] 100.0% [73] 860(18.3%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [83] 100.0% ----------------------------------------------------------------------- egraph-run [69] 100.0% [74] 522(11.1%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [79] 100.0% ----------------------------------------------------------------------- for-loop [67] 100.0% [75] 188(4.0%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [80] 100.0% ----------------------------------------------------------------------- rewrite-expression-head24 [70] 33.3% matcher [86] 66.7% [76] 188(4.0%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [81] 100.0% ----------------------------------------------------------------------- ??? [71] 100.0% [77] 172(3.7%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [82] 100.0% ----------------------------------------------------------------------- loop [17] 4.3% loop [43] 8.9% ??? [57] 8.9% location-do [2] 11.3% ??? [24] 15.6% for-loop [72] 15.6% .../more-scheme.rkt:261:28 [23] 17.6% real->precision [52] 17.8% [78] 1900(40.4%) 504(10.7%) ??? ...tract/private/arrow-higher-order.rkt:375:33 bf [85] 17.8% location-do [2] 15.6% approximate9 [3] 15.6% hash-ref! [21] 15.6% ival-mult [87] 8.9% ----------------------------------------------------------------------- egraph-add-exprs [74] 100.0% [79] 522(11.1%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [84] 100.0% ----------------------------------------------------------------------- loop [75] 3.2% loop [80] 96.8% [80] 188(4.0%) 188(4.0%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [80] 96.8% ----------------------------------------------------------------------- rewriter [76] 100.0% [81] 188(4.0%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 matcher [86] 100.0% ----------------------------------------------------------------------- argmin [77] 100.0% [82] 172(3.7%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [83] 100.0% ----------------------------------------------------------------------- ??? [82] 12.3% .../more-scheme.rkt:261:28 [23] 26.3% atab-add-altn [73] 61.4% [83] 1400(29.8%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [89] 61.9% temp85_0 [88] 38.1% ----------------------------------------------------------------------- ??? [79] 100.0% [84] 522(11.1%) 522(11.1%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ----------------------------------------------------------------------- ??? [78] 100.0% [85] 338(7.2%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [90] 100.0% ----------------------------------------------------------------------- for-loop [19] 40.0% for-loop [81] 60.0% [86] 188(4.0%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:115:2 ??? [9] 40.0% rewriter [76] 40.0% variable? [91] 20.0% ----------------------------------------------------------------------- ??? [78] 100.0% [87] 170(3.6%) 0(0.0%) ival-mult ...ie/findroot/src/biginterval.rkt:120:0 bfmul [92] 100.0% ----------------------------------------------------------------------- errors [83] 44.3% eval-const-expr [14] 55.7% [88] 1206(25.7%) 0(0.0%) temp85_0 (unknown source) compile15 [93] 100.0% ----------------------------------------------------------------------- errors [83] 100.0% [89] 866(18.4%) 174(3.7%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [23] 79.9% ----------------------------------------------------------------------- bf [85] 100.0% [90] 338(7.2%) 338(7.2%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ----------------------------------------------------------------------- matcher [86] 100.0% [91] 188(4.0%) 0(0.0%) variable? .../findroot/src/syntax/syntax.rkt:729:0 ??? [60] 100.0% ----------------------------------------------------------------------- ival-mult [87] 100.0% [92] 170(3.6%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [94] 100.0% ----------------------------------------------------------------------- temp85_0 [88] 100.0% [93] 1206(25.7%) 0(0.0%) compile15 (unknown source) temp91_0 [95] 100.0% ----------------------------------------------------------------------- bfmul [92] 100.0% [94] 170(3.6%) 170(3.6%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ----------------------------------------------------------------------- compile15 [93] 100.0% [95] 1206(25.7%) 0(0.0%) temp91_0 (unknown source) temp118_0 [96] 100.0% ----------------------------------------------------------------------- temp91_0 [95] 100.0% [96] 1206(25.7%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [97] 100.0% ----------------------------------------------------------------------- temp118_0 [96] 100.0% [97] 1206(25.7%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [98] 100.0% ----------------------------------------------------------------------- expand-capturing-lifts [97] 100.0% [98] 1206(25.7%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [99] 84.7% for-loop [100] 15.3% ----------------------------------------------------------------------- lambda-clause-expander [98] 24.7% for-loop [100] 75.3% [99] 1022(21.7%) 0(0.0%) finish-bodys (unknown source) for-loop [100] 100.0% ----------------------------------------------------------------------- lambda-clause-expander [98] 15.3% for-loop [100] 25.3% finish-bodys [99] 59.5% [100] 1206(25.7%) 0(0.0%) for-loop (unknown source) finish-bodys [99] 46.6% for-loop [100] 25.3% add-local-binding!39 [102] 15.3% dispatch-transformer41 [7] 5.8% expand-implicit [103] 3.5% syntax-e [5] 3.1% loop [101] 0.6% ----------------------------------------------------------------------- loop [101] 7.2% for-loop [100] 7.2% apply-transformer52 [16] 9.7% syntax->list [32] 14.3% syntax-e/no-taint [13] 61.5% [101] 852(18.1%) 166(3.5%) loop (unknown source) gf [104] 51.8% syntax-e [5] 24.1% expand-id-application-form17 [10] 7.2% loop [101] 7.2% ----------------------------------------------------------------------- for-loop [100] 100.0% [102] 184(3.9%) 184(3.9%) add-local-binding!39 (unknown source) ----------------------------------------------------------------------- for-loop [100] 100.0% [103] 170(3.6%) 170(3.6%) expand-implicit (unknown source) ----------------------------------------------------------------------- loop [101] 100.0% [104] 686(14.6%) 0(0.0%) gf (unknown source) propagation-merge [105] 73.2% propagation-apply [106] 26.8% ----------------------------------------------------------------------- gf [104] 100.0% [105] 502(10.7%) 502(10.7%) propagation-merge (unknown source) ----------------------------------------------------------------------- gf [104] 100.0% [106] 184(3.9%) 184(3.9%) propagation-apply (unknown source) -----------------------------------------------------------------------